Desert 2 will be 4,000,000 square miles and Desert 1 will be 12,000,000 square miles.
How to calculate the dimensionsThe area of a shape simply means the total space that is taken by the shape. It simply expresses the extent of the region on a particular plane as well as a curved surface.
Desert 1 = 3x
Desert 2 = x.
Total area = 16,000,000
x + 3x = 16000000
4x = 16,000,000
Divide
x = 16000000 / 4
x = 40000000
Desert 2 = 4,000,000 square miles
Desert 1 = 12,000,000 square miles.
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if f (x) equals 3 (x+4), find f (2)
Answer:
f(2) = 18
Step-by-step explanation:
If f(x) = 3 * (x + 4)
Than f(2) = 3 * (2 + 4) (coz x is an argument)
f(2) = 3 * (2 + 4)
f(2) = 3 * 6
f(2) = 18
Computers in some vehicles calculate various quantities related to performance. One of these is the fuel efficiency, or gas mileage, usually expressed as miles per gallon (mpg). For one vehicle equipped in this way, the car was set to 60 miles per hour by cruise control, and the mpg were recorded at random times. Here are the mpg values from the experiment:
37.2 21.0 17.4 24.9 27.0 36.9 38.8 35.3 32.3 23.9
19.0 26.1 25.8 41.4 34.4 32.5 25.3 26.5 28.2 22.1
Suppose that the standard deviation of the population of mpg readings of this vehicle is known to be σ=6.5mpg
a) What is σx¯, the standard deviation of x¯ (x Bar)?
b) Based on a 95% confidence level, what is the margin of error for the mean estimate?
c) Given the margin of error computed in part (b), give a 95% confidence interval for μμ, the mean highway mpg for this vehicle. The vehicle sticker information for the vehicle states a highway average of 27 mpg. Are the results of this experiment consistent with the vehicle sticker?
a) The standard deviation of 1.45 mpg.
b)The margin of error for the mean estimate 3.03 mpg
c) A 95% confidence interval for μμ is (28.1 - 3.03, 28.1 + 3.03) or (25.07, 31.13) mpg, the mean highway mpg for this vehicle is 27 mpg.
a) Using the formula for the standard error of the mean, σx¯ = σ/√n, where σ is the standard deviation of the population, n is the sample size, we can calculate σx¯ = 6.5/√20 ≈ 1.45 mpg.
b) Using a 95% confidence level, we can find the critical value for the t-distribution with 19 degrees of freedom (n-1), which is 2.093. The margin of error for the mean estimate is then t*σx¯ = 2.093 x 1.45 ≈ 3.03 mpg.
c) The 95% confidence interval for μ is given by x¯ ± margin of error, which is (28.1 - 3.03, 28.1 + 3.03) or (25.07, 31.13) mpg. Since the vehicle sticker information states a highway average of 27 mpg, the results of this experiment are not consistent with the vehicle sticker, as the 95% confidence interval does not contain the value of 27 mpg. This suggests that the vehicle may not be performing as well as expected, or that the sample of mpg readings was not representative of the overall population.
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please help me with math i’ll give you brainlist
The linear functions for this problem are classified as follows:
a. Parallel.
b. Neither parallel nor perpendicular.
c. Perpendicular.
What is a linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
The slope m represents the rate of change.The intercept b represents the value of y when x = 0.They are classified as parallel, perpendicular or neither according to their slopes as follows:
Parallel: same slope.Perpendicular: multiplication of the slopes is of -1.Neither: slopes are different with a multiplication different of -1.More can be learned about linear functions at https://brainly.com/question/24808124
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PLS HELP ME MY GRADE DEPENDS ON IT
The constant of proportionality for the given graph is 6.
What is a constant of proportionality?The two sequences of numbers are proportional or directly proportional if the ratio between the corresponding elements of two sequences of numbers, typically experimental data, is constant and is known as the coefficient of proportionality or proportionality constant.
From the given graph the point is (5,30) from which the line is passing.
The equation for the constant of proportionality is written as below,
y = kx
Substitute the points in the above equation,
y = kx
30 = k x 5
k = 30 / 5
k = 6
Therefore, the proportionality constant for the displayed graph is 6.
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37
B
12
35
Find cos(o) in the triangle.
A
Answer:
cos α = 35/37-------------------------------
Definition:
cosine = adjacent leg / hypotenuseSubstitute for cos α:
cos α = 35/37Find the value of x that makes AABC~ADEF.
B
8
12
光
A x+7 C
X =
D
24
E
48
3(x+3)
F
Answer:e
Step-by-step explanation:t
Erin has a set of 10 index cards. Each index card is 3 ½ inches long. If she were
to lay the index cards in one long row, how long would the row be?
*
If Erin were to lay the index cards in one long row, the row would be 35 inches long.
What is Multiplication?
Multiplication is an arithmetic operation that is used to find the result of combining equal groups of a given quantity. It involves repetitive addition of equal groups, where one factor represents the number of groups, and the other factor represents the number of items in each group.
Solution:
If Erin has 10 index cards, and each index card is 3 ½ inches long, then the total length of the row would be:
10 cards x 3 ½ inches per card = 35 inches
Therefore, if Erin were to lay the index cards in one long row, the row would be 35 inches long.
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World population is about P = 7.68(1.0103)', with Pin billions and t in years since 2020.
(a) What is the yearly percent rate of growth of the world population? % per year
(b) What was the world population in 2020? billion people What does this model predict for the world population in 2026? Round your answer to 3 decimal places. i billion people
(c) Use part (b) to find the projected average rate of change of the world population between 2020 and 2026. Round your answer to the nearest integer. million people per year
To find the projected average rate of change of the world population between 2020 and 2026, we can take the difference in population between 2020 and 2026 and divide it by the number of years (6). This gives us 0.556 million people per year.
(a) The yearly percent rate of growth of the world population is 1.0103%.
(b) The world population in 2020 was 7.68 billion people. The model predicts that the world population in 2026 will be 8.336 billion people.
(c) The projected average rate of change of the world population between 2020 and 2026 is 0.556 million people per year.
(a) The yearly percent rate of growth of the world population can be found by taking the exponential rate of change of the equation. The rate of change is 1.0103%.
(b) To find the world population in 2020, we can plug in t=0 into the equation. This gives us P=7.68 billion people. To find the world population in 2026, we can plug in t=6 into the equation. This gives us P=8.336 billion people.
(c) To find the projected average rate of change of the world population between 2020 and 2026, we can take the difference in population between 2020 and 2026 and divide it by the number of years (6). This gives us 0.556 million people per year.
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Which conditions allow you to conclude that a quadrilateral is a trapezoid?
Answer:
Below
Step-by-step explanation:
It has two sides that are parallel ( the 'bases' ) and different lengths ( making the other two sides NOT parallel)
Answer:
Step-by-step explanation:
A trapezoid is a quadrilateral with at least one pair of parallel sides. In other words, a trapezoid has two opposite sides that are parallel, called the bases, and the other two sides are called the legs or lateral sides.
So, to conclude that a quadrilateral is a trapezoid, you must determine that:
1)Two of its sides are parallel.
2)The other two sides are not parallel.
If these two conditions are met, then the quadrilateral is a trapezoid.
(If a trapezoid has two pairs of parallel sides, then it is known as a parallelogram, which is a special type of trapezoid.)
Please help me with this please
Answer:
He will need 64 ft of fencing
Step-by-step explanation:
To determine the amount of fencing, we need to find the perimeter.
P = 2 (l+w) where l is the length and w is the width
P = 2(22+10)
P = 2(32)
P = 64
He will need 64 ft of fencing
Marley surveyed the students in 7th grade to determine which type of social media they most commonly used. The data that Marley obtained is given in the table.
Type of Social Media Headbook Picturegram Tweeter VidTok
Number of Students 85 240 125 50
Which of the following circle graphs correctly represents the data in the table?
a circle graph titled social media usage, with four sections labeled headbook 17 percent, picturegram 48 percent, tweeter 25 percent, and vidtok 10 percent
a circle graph titled social media usage, with four sections labeled vidtok 17 percent, headbook 48 percent, picturegram 25 percent, and tweeter 10 percent
a circle graph titled social media usage, with four sections labeled tweeter 17 percent, vidtok 48 percent, headbook 25 percent, and picturegram 10 percent
a circle graph titled social media usage, with four sections labeled picturegram 17 percent, tweeter 48 percent, vidtok 25 percent, and headbook 10 percent
A circle graph titled social media usage, with four sections labeled vidtok 17 percent, headbook 48 percent, picturegram 25 percent, and tweeter 10 percent.
What is the division?
Division is an arithmetic operation that is the inverse of multiplication. It involves splitting a quantity into equal parts or determining how many times one quantity is contained within another.
If you add all of the numbers together you get 500, but you need to make it 100 percent so you divide the total number by five. to know what percent out of 100 you need to divide all of the variables by 5.
85 ÷ 5 = 17
240 ÷ 5 = 48
125 ÷ 5 = 25
50 ÷ 5 = 10
Hence, A circle graph titled social media usage, with four sections labeled vidtok 17 percent, headbook 48 percent, picturegram 25 percent, and tweeter 10 percent.
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Answer:
BBBBBBBBB
Step-by-step explanation:
You paid $29.75 in tax when you bought a $350 bike. What is the percent tax?
The percent tax you paid when you bought the bike is approximately 8.493%.
What is percentage ?
Percentage can be defined as the product of ratio of given value, total value and hundred.
given ,
You paid $29.75 in tax when you bought a $350 bike
To find the percent tax, we can divide the amount of tax by the total cost (including tax) and multiply by 100 to express the result as a percentage.
tax = 29.75
total = 350
percent tax = (tax / total) * 100
So the percent tax would be
percent tax = (29.75 / 350) * 100
= 8.493%
Therefore, The percent tax you paid when you bought the bike is approximately 8.493%.
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Write a recursive formula for an, the nth term of the sequence 50, -10, 2, ....
a1
an
11
Answer:do homework
Step-by-step explanation:
4. The U.S. Census Bureau calculated the homeownership rate in the United States for the second quarter of 2019
(April, May, and June) at 64.1 percent.
A. What does that mean? Please describe what a rate is and what that specific figure tells us.
B. How would they have calculated that rate? Please explain how rates are calculated and how this specific rate
would have been calculated.
A) The homeownership rate in the United States calculated by the U.S. Census Bureau for the second quarter of 2019 as 64.1 percent means that about 64% of the U.S. homes are owner-occupied instead of renting.
B) The homeownership rate is the quotient of the number of owner-occupied homes and the total number of U.S. homes.
What is the homeownership rate?The homeownership rate describes the percentage or proportion of U.S. homes occupied by owners instead of renters.
The rate refers to the ratio, which is the relative size of one quantity compared to another.
To compute the homeownership rate, the number of owner-occupied homes is divided by the total number of U.S. homes and multiplied by 100.
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13 Show that the equation (p+1)x² + (2p+3)x+ (p+2)=0 has real roots for all real values of p.
The equation (p+1)x² + (2p+3)x+ (p+2)=0 has real roots for all real values of p at x = -1, -2
What is a polynomial?A polynomial equation is a mathematical equation in which the polynomial is set to zero. The equation is made up of variables, non-negative integer exponents, coefficients, arithmetic operations, and an equal sign.
Given that:
(p+1)x² + (2p+3)x + (p+2) = 0
Open brackets;
px² + x² + 2px + 3x + p + 2 = 0
Move all terms not containing p to the right side of the equation.
px² + 2px + p = −x² − 3x − 2
Factor p out of px² + 2px + p.
p(x² + 2x + 1) = −x² − 3x − 2
Factor using the perfect square rule.
p(x+1)² = −x² − 3x − 2
Divide each term in p( x + 1 )² = −x² − 3x − 2 by (x + 1)² and simplify.
[tex]p= - \dfrac{x^2}{(x+1)^2}-\dfrac{3x}{(x+1)^2}-\dfrac{2}{(x+1)^2}[/tex]
Set [tex]p= - \dfrac{x^2}{(x+1)^2}-\dfrac{3x}{(x+1)^2}-\dfrac{2}{(x+1)^2}[/tex] to be equal to zero;
[tex]- \dfrac{x^2}{(x+1)^2}-\dfrac{3x}{(x+1)^2}-\dfrac{2}{(x+1)^2}=0[/tex]
Solve for x;
-x² - 3x - 2 = 0
Factor the left side of the equation.
-(x + 1) (x + 2) = 0
x = -1
x = -2
The final solution is all the values that make -(x + 1) (x + 2) = 0 true
x = -1, - 2
Exclude the solutions that do not make [tex]- \dfrac{x^2}{(x+1)^2}-\dfrac{3x}{(x+1)^2}-\dfrac{2}{(x+1)^2}=0[/tex] true.
Therefore, x = -2
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Last question: Find the volume of a cylinder where the circular base has a diameter of 7km, and the height of the cylinder is 13.08km.
Note: Find the indicated volumes. Use 3.14 for pi and round your final results two decimal places as needed
Answer:
503.1222
rounded: 503.12
Will your battery capacity go down if you update your iphone?
Unfortunately, a lot of software apps tend to use up battery life even if you aren't currently using the phone. This leads to the phone feeling more sluggish over time. To help combat this, it's helpful to clear out any unused apps and clear up the cache.
Even if software was perfectly written the most efficiently, and apps weren't intrusive, the physical nature of the battery itself has limitations. The capacity of the battery will slowly decay each time you charge or use your phone. Even just sitting idle it slowly loses capacity. This loss is very small that it's hard to detect. But add it up over time and the losses will get more noticeable. This is why you cannot simply charge a battery an infinite number of times. As with all things in life, there's a limit.
Summary: Yes the capacity will go down but ever so slightly. It depends how often the updates are done and what software is being updated. Ideally the updated software should be more efficient with the battery life. However, life isn't perfect and there will likely be flaws.
You borrow $900 and agree to repay it with 11% interest.
How much interest will you owe?
The interest to be paid is $99
What is simple interest?Simple interest is an interest charge that borrowers pay lenders for a loan. It is calculated using the principal only and does not include compounding interest. Simple interest relates not just to certain loans. It's also the type of interest that banks pay customers on their savings accounts.
Simple Interest = P×R×T/100
where P is the principal,
R is the rate
and T is the time
P = $900
R = 11%
T= 1
I = 900× 11/100
I = $99
therefore the interest to be paid is $99
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help me pls and thank you :)
Answer:
350
Step-by-step explanation:
∑ (xy) means the sum of the products of x and y , that is
∑ (xy)
= (7 × 2) + (2 × 5) + (5 × 7) + (9 × 4) + (6 × 2) + (10 × 9) + (9 × 9) + (8 × 4) + (4 × 10)
= 14 + 10 + 35 + 36 + 12 + 90 + 81 + 32 + 40
= 350
Which equation shows how to rewrite the sum of 42 and 54 using their greatest common factor?
Answer:69
Step-by-step explanation:
31+38=69
The registration fee for a used car is 0.6% of the sale price of 5200$. How much is the fee?
Answer: $31.20
Step-by-step explanation:
0.6% = 0.006
.: fee = 0.006 x 5200 = $31.20
the sum of two fractions is 5 3/8 one of the numbers is 7/9 what is the other number
Answer:
[tex]\boxed{\mathrm\bold {4\dfrac{43}{72}}}[/tex]
Step-by-step explanation:
Let the unknown fraction be x
We are given sum of the fractions = 5 3/8 and one of the fractions is 7/9
First convert 5 3/8 to an improper fraction for easier calculation
[tex]5 \dfrac{3}{8} = \dfrac{5\times 8 + 3}{8} = \dfrac{43}{8}[/tex]
Therefore we get:
[tex]\dfrac{7}{9} + x = 5\dfrac{3}{8}\\\\\dfrac{7}{9} + x = \dfrac{43}{8}\\\\[/tex]
Subtract [tex]\dfrac{7}{9}[/tex] on both sides to isolate x:
[tex]\dfrac{7}{9} - \dfrac{7}{9} + x = \dfrac{43}{8} - \dfrac{7}{9}[/tex]
[tex]x = \dfrac{43}{8} - \dfrac{7}{9}[/tex]
To compute the right side
Find the LCM of 8 and 9: 8 x 9 = 72Adjust the fractions based on LCM so we get 72 as a common denominator:[tex]\dfrac{43}{8}=\dfrac{43\cdot \:9}{8\cdot \:9}=\dfrac{387}{72}\\\\\\\dfrac{7}{9}=\dfrac{7\cdot \:8}{9\cdot \:8}=\dfrac{56}{72}\\\\[/tex]area of triangle۔ab =154،bc=346،ac=349
Therefore, the area of the triangle ABC is approximately 18096.3 square units.
What is the area of the triangle?
To calculate the area of a triangle, use the formula area = 1/2 * base * height.
We can use Heron's formula to find the area of the triangle ABC when the lengths of its three sides are known:
[tex]Area = {\sqrt{(s(s-a)(s-b)(s-c))}[/tex]
where "s" is the semiperimeter of the triangle, which is half the sum of the lengths of its three sides:
s = (a + b + c)/2
In this case, we have:
a = AB = 154
b = BC = 346
c = AC = 349
So the semiperimeter is:
s = (a + b + c)/2 = (154 + 346 + 349)/2 = 424.5
Now we can use Heron's formula to find the area of the triangle
[tex]Area = \sqrt{(s(s-a)(s-b)(s-c))}\\\\Area = \sqrt{(424.5(424.5-154)(424.5-346)(424.5-349))}\\\\Area= 18096.3[/tex]
Therefore, the area of the triangle ABC is approximately 18096.3 square units.
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Color the rational numbers blue
Leave the irrational numbers alone
Answer:
The answer is provided in the image below.
A certain antihistamine is often prescribed for allergies. A typical dose for a 100-pound person is 22 mg every six hours. This antihistamine also comes in a liquid form with a concentration of 12.3 mg/ 6mL. Following the prescribed dosage, how much liquid antihistamine should a 100-pound person take in a week?
On solving the provided question, we can say that equation is 532/13.5 = 39.4 doses.
What exactly is an equation?A mathematical equation is a formula that joins two statements and indicates equality with the equal symbol (=). In algebra, an equation is a mathematical statement that establishes the equality of two mathematical expressions. In the equation 3x + 5 = 14, for example, the equal sign separates the variables 3x + 5 and 14. A mathematical formula describes the relationship between the two sentences on either side of a letter. There is frequently only one variable, which also serves as the symbol. For example, 2x - 4 = 2.
the equation is the week * 7 (weekdays) * 24 (hours/day) * 19/6 (MILIGRAMS/HOURS)
532 mg per week (532/13.5 = 39.4 doses)
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Wilson Montgomery was curious about the difference between a simple discount note and a simple interest note. He is considering taking out one or the other. Let him know which one he should take out based on proceeds and effective rate. Both have the same terms: $5,500 at 6% for 18 months. Round to the nearest tenth.
What is the answer to this question?
Based on the proceeds and effective rate, Wilson should take out the simple discount note, which has a higher proceeds of $5,005 and a higher effective rate of 9.9% compared to the simple interest note's proceeds of $5,995 and effective rate of 9.0%.
How to take out based on proceeds and effective rate?To compare the simple discount note and the simple interest note, we can calculate the proceeds and effective rates for each.
For the simple discount note, the interest is deducted upfront and the borrower receives the difference, or the proceeds. The interest on a $5,500 note at 6% for 18 months can be calculated as:
Interest = Principal × Rate × Time
Interest = $5,500 × 6% × 1.5 years
Interest = $495
The proceeds for the simple discount note can be calculated as:
Proceeds = Principal - Interest
Proceeds = $5,500 - $495
Proceeds = $5,005
The effective rate for the simple discount note can be calculated using the formula:
Effective Rate = Interest / Proceeds × 100%
Effective Rate = $495 / $5,005 × 100%
Effective Rate = 9.9%
For the simple interest note, the interest is calculated on the principal amount and added to the principal at the end of the term. The interest on a $5,500 note at 6% for 18 months can be calculated as:
Interest = Principal × Rate × Time
Interest = $5,500 × 6% × 1.5 years
Interest = $495
The total amount due at the end of the term for the simple interest note can be calculated as:
Total Due = Principal + Interest
Total Due = $5,500 + $495
Total Due = $5,995
The effective rate for the simple interest note can be calculated using the formula:
Effective Rate = Interest / Principal × 100%
Effective Rate = $495 / $5,500 × 100%
Effective Rate = 9.0%
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Solve for B, please.
Answer:
b = 30
Step-by-step explanation:
You want the value of b given line y = 20x +b passes through the points (6, 150) and (11, 250).
Solve for bThe equation y = 20x +b can be solved for b:
b = y -20x . . . . . . . . subtract 20x
Using the given point (x, y) = (6, 150), you have ...
b = 150 -20(6) = 150 -120
b = 30
What is the value of x? enter your answer, as a decimal, in the box. Do not round your answer.
The "value of x" in algebraic expression represented as "3x + 2 = 8" , in decimal form is 2.0 .
We have to solve the algebraic expression "3x + 2 = 8" for value of x, we first need to separate the "variable x" on one side of the equation.
So , we subtract "2" from both sides of expression ,
we get ;
⇒ 3x + 2 - 2 = 8 - 2 ;
Simplifying the left hand side, we get:
⇒ 3x = 6 ;
To solve for the variable x, we on divide both sides by 3 ;
⇒ 3x/3 = 6/3 ;
Simplifying, we get:
⇒ x = 6/3 = 2 .
Therefore, the value of x in the algebraic expression "3x + 2 = 8" is 2 , which is 2.0 when expressed as a decimal.
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The given question is incomplete , the complete question is
What is the value of x in the algebraic expression "3x + 2 = 8" ? Enter your answer, as a decimal . Do not round your answer.
Simplify the given trigonometric expression (sin (30° + x)+sin (30° - x))
The simplified expression is cos(x) of trigonometric expression (sin (30° + x)+sin (30° - x))
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
We can simplify this expression using the sum-to-product formula for sine:
sin(a + b) + sin(a - b) = 2 sin(a) cos(b)
Let's use this formula by setting a = 30° and b = x:
sin(30° + x) + sin(30° - x) = 2 sin(30°) cos(x)
We know that sin(30°) = 1/2, so we can substitute:
sin(30° + x) + sin(30° - x) = 2(1/2) cos(x)
sin(30° + x) + sin(30° - x) = cos(x)
Therefore, the simplified expression is cos(x).
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I am equivalent to. The sum of my numerator and my denominator is 30. The difference between my denominator and my numerator is 6. What fraction am i?.
If I am equivalent to 3/2, and sum of my numerator and my denominator is 30. Then, i am a fraction is equals to the 18/12.
I am equivalent to 3/2. Let us assume i am a fraction x/y. That is my denominator of fraction = y
My numerator of fraction = x
Now, according to problem, sum of my numerator and my denominator is 30.
=> x + y = 30 --(1)
Also, difference between my denominator and my numerator is 6.
=> y - x = 6 or -y + x = 6 --(2)
Add eqution(1) and (2)
=> x + y + y - x = 30 + 6 or x + y +x - y = 30 + 6
=> 2y = 36 or 2x = 36
=> y = 36/2 or x = 36/2
=> y = 18 or x = 18
Now, when y = 18 => x = 30 - 18 = 12
similarly, x = 18 , => y = 12
so, possible fraction are 12/18 = 2/3 or 18/12 = 3/2, but my fraction is equivalent to 3/2 not 2/3. Therefore, the required fraction is 18/12
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Complete question :
I am equivalent to 3/2 . The sum of my numerator an my denominator is 30 . The difference between my denominator and my numerator is 6 . What fraction am I?
